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Finding the Fourth Proportional to 978,136.83, 1,466,924.82 and 329,642.39

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Solution

The fourth proportional to 978,136.83, 1,466,924.82 and 329,642.39 is: 494,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,136.83 : 1,466,924.82 = 329,642.39 : x
  2. Step 2: Convert to fraction form
    978,136.83/1,466,924.82 = 329,642.39/x
  3. Step 3: Cross multiply
    978,136.83x = 1,466,924.82 × 329,642.39
  4. Step 4: Simplify right side
    978,136.83x = 483,560,596,280.50
  5. Step 5: Solve for x
    x = 483,560,596,280.50/978,136.83
  6. Step 6: Final answer
    x = 494,369.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.